Locally Optimal Shirt | Global Claims Withheld Math Tee

A mathematically defensible piece of modest self-description for optimization people.

BEHIND THE DESIGN
You have found a good place to stop.

Every small move makes things worse.

That sounds convincing.

It also leaves something unanswered.

In mathematics a local minimum is a point where no sufficiently nearby alternative gives a lower value.

Another valley elsewhere may go deeper.

You can be best in the neighborhood without being best on the map.

That distinction became the starting point for Locally Optimal.

We imagined a landscape with one small region singled out for attention. Contours gather around a marked point. A frame sets the neighborhood apart.

The landscape continues beyond it.

The mathematical conditions beneath the diagram give the claim its foundation. For a smooth function a zero gradient together with positive curvature in every direction is enough to establish a strict local minimum.

A precise conclusion.

Within a limited reach.

GLOBAL CLAIMS WITHHELD.

We chose this idea because there is something quietly appealing about confidence that knows its boundaries. A result can be useful. A decision can be sound.

Neither requires pretending that every possibility has been exhausted.

The point has earned its place.

The rest of the landscape remains open.

Beauty. Discovery. Depth.

Mathematical reference: Stanford — Unconstrained Optimization.
https://graphics.stanford.edu/courses/cs205a-13-fall/assets/notes/chapter8.pdf

THE EDITION
Original Edition. The approved primary graphic is printed on the front.

THE SHIRT
Unisex T-shirt
• Available in Crew neck and V-neck
• Black and Navy
• Final size range follows the live Etsy size chart
• Printed on demand using DTG printing

NECKLINE NOTE
“Crew Edition” describes the artwork placement, not the collar. Both Original and Crew Editions can be ordered with either a crew neck or V-neck.

PRINTING AND FULFILLMENT
Proof & Particle creates and verifies the original artwork. Printful, our disclosed production partner, prints, packages, and ships each shirt only after it is ordered. Slight variations can occur because ink interacts with natural fabric fibers.

CARE
Wash cold, inside out, with similar colors. Tumble dry low. Do not bleach, dry clean, or iron directly over the print.

DESIGN TRANSPARENCY
Generative tools supported early concept exploration and blank-garment mockups. Every final word, equation, symbol, and technical diagram is independently prepared and checked by Proof & Particle.

MADE TO ORDER
Please consult the size chart for the selected neckline before purchasing. If an item arrives damaged, misprinted, or incorrect, contact us through Etsy with photographs so we can make it right.

TRADEMARK NOTICE
PROOF & PARTICLE™ is a trademark of R Mavrovich & Associates Inc.

FABRIC WEIGHT & SHRINKAGE
Our Bella + Canvas cotton tees are soft and lightweight (4.2 oz/yd² / 142 g/m²), not heavyweight shirts. Pre-shrunk does not mean shrink-proof. Warm or hot washing and high dryer heat can cause additional shrinkage and affect the print. Follow the garment label: wash cold, inside out, on a gentle cycle with mild detergent and similar colors. Avoid bleach and fabric softener. Air dry or tumble dry low; do not iron the print or dry clean.

Full fabric and care guide: proofandparticle.com/care